It's going to be too much of a hassle even if it recognized. You'd have modify the cooler to cool the dual-die chip. You see, you now have one of these cooling one of these but you want to fit one of these in there. Spot the double rectangle peg to a square hole -situation? The contact surface isn't the entire story though. You have to also transfer the heat way more efficiently.
Just for comparison, the task is usually handled by one of these. (Triple heatpipes without the dedicated GPU even in there)
Then there's the power delivery. I'm pretty sure the laptop doesn't have the capacity to feed the QX in the first place.